How To Find A Point Of Inflection?

Find the second derivative, (f”(x))

Set (f”(x)=0) and solve for critical candidates

Check where (f”(x)) is undefined

Test the sign of (f”(x)) on intervals around each candidate

Confirm a point of inflection only if (f”(x)) changes sign

Find the corresponding (y)-value by evaluating (f(x))

Write the inflection point as ((x, f(x)))

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